In \(3d\) , our task is to find a minimally supersymmetric, \(\mathcal {N}=1\) , gauge theory with a mass deformation proportional to \(m_{3d}\) , such that at \(m_{3d}>0\)  there is only one supersymmetric vacuum hosting the \(U(k)^{\mathcal {N}=1}_{N-\frac{k}{2},N}\)  TQFT, while at \(m_{3d}<0\)  there are \(k+1\)  supersymmetric vacua with the correct NLSM's. At zero \(3d\)  mass (\(m_{3d}=0\) ) there is a \(3d\)  SCFT, describing the transition of \(k+1\)  vacua into a single vacuum. Recent progress in the study of \(3d\)  \(\mathcal {N}=1\)  gauge theories includes [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}. Since the \(k\) -wall is also the parity reversed \((h-k)\) -wall, in \(3d\)  there is a non-trivial duality between the SCFT describing the \(k\) -wall and the parity reversed SCFT describing the \((h-k)\) -wall.
